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Properties

Label 3645.2.bj
Level $3645$
Weight $2$
Character orbit 3645.bj
Rep. character $\chi_{3645}(2,\cdot)$
Character field $\Q(\zeta_{972})$
Dimension $156816$
Sturm bound $972$

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Defining parameters

Level: \( N \) \(=\) \( 3645 = 3^{6} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3645.bj (of order \(972\) and degree \(324\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3645 \)
Character field: \(\Q(\zeta_{972})\)
Sturm bound: \(972\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3645, [\chi])\).

Total New Old
Modular forms 158112 158112 0
Cusp forms 156816 156816 0
Eisenstein series 1296 1296 0

Trace form

\( 156816 q - 324 q^{2} - 324 q^{3} - 324 q^{5} - 648 q^{6} - 324 q^{7} - 324 q^{8} - 324 q^{10} - 648 q^{11} - 324 q^{12} - 324 q^{13} - 324 q^{15} - 648 q^{16} - 324 q^{17} - 324 q^{18} - 324 q^{20} - 648 q^{21}+ \cdots - 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(3645, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.